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2008 Periodic Oscillation of FuzzyCohen-Grossberg NeuralNetworks with Distributed Delay and Variable Coefficients
Hongjun Xiang, Jinde Cao
J. Appl. Math. 2008: 1-18 (2008). DOI: 10.1155/2008/453627

Abstract

A class of fuzzy Cohen-Grossberg neural networks with distributed delay and variable coefficients is discussed. It is neither employing coincidence degree theory nor constructing Lyapunov functionals, instead, by applying matrix theory and inequality analysis, some sufficient conditions are obtained to ensure the existence, uniqueness, global attractivity and global exponential stability of the periodic solution for the fuzzy Cohen-Grossberg neural networks. The method is very concise and practical. Moreover, two examples are posed to illustrate the effectiveness of our results.

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Hongjun Xiang. Jinde Cao. "Periodic Oscillation of FuzzyCohen-Grossberg NeuralNetworks with Distributed Delay and Variable Coefficients." J. Appl. Math. 2008 1 - 18, 2008. https://doi.org/10.1155/2008/453627

Information

Published: 2008
First available in Project Euclid: 9 September 2008

zbMATH: 1154.34037
MathSciNet: MR2380002
Digital Object Identifier: 10.1155/2008/453627

Rights: Copyright © 2008 Hindawi

Vol.2008 • 2008
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